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4130040404133 = 3271091633689773
BaseRepresentation
bin111100000110011001100…
…101110101100010100101
3112121211100121122200121100
4330012121211311202211
51020131310320413013
612441151523110313
7604246152130560
oct74063145654245
915554317580540
104130040404133
1113525a4157a46
1256851a212399
1323c5cc178a27
14103c75d254d7
1572672650473
hex3c1999758a5

4130040404133 has 48 divisors (see below), whose sum is σ = 6922606387840. Its totient is φ = 2324025032832.

The previous prime is 4130040404123. The next prime is 4130040404159. The reversal of 4130040404133 is 3314040400314.

4130040404133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4130040404133 - 221 = 4130038306981 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 4130040404097 and 4130040404106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4130040404123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 725566 + ... + 2964207.

Almost surely, 24130040404133 is an apocalyptic number.

It is an amenable number.

4130040404133 is a deficient number, since it is larger than the sum of its proper divisors (2792565983707).

4130040404133 is a wasteful number, since it uses less digits than its factorization.

4130040404133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3690058 (or 3690055 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 4130040404133 its reverse (3314040400314), we get a palindrome (7444080804447).

The spelling of 4130040404133 in words is "four trillion, one hundred thirty billion, forty million, four hundred four thousand, one hundred thirty-three".

Divisors: 1 3 7 9 21 63 109 163 327 489 763 981 1141 1467 2289 3423 6867 10269 17767 53301 124369 159903 373107 1119321 3689773 11069319 25828411 33207957 77485233 232455699 402185257 601432999 1206555771 1804298997 2815296799 3619667313 4210030993 5412896991 8445890397 12630092979 25337671191 37890278937 65556196891 196668590673 458893378237 590005772019 1376680134711 4130040404133